Atkin-Lehner |
2- 5+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
66650p |
Isogeny class |
Conductor |
66650 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
29120 |
Modular degree for the optimal curve |
Δ |
41656250 = 2 · 56 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 -5 5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-88,31] |
[a1,a2,a3,a4,a6] |
j |
4826809/2666 |
j-invariant |
L |
7.0666071750539 |
L(r)(E,1)/r! |
Ω |
1.7666517901324 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2666a1 |
Quadratic twists by: 5 |